Marcobisky
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Algebra (5)
Awesome-Mac (3)
CS (1)
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Differential-Equation (2)
Differential-Geometry (3)
Hardware (1)
Physics (1)

My posts

Solving Laplace’s Equation using Separation of Variables

Differential-Equation
Learn how to solve stationary heat distribution problem under specific boundary conditions
May 1, 2025
Marcobisky

Basics of Projective Space and Projective Linear Group 射影空间与射影线性群

Algebra
Differential-Geometry
Projective spaces, unit quaternions, \(SU(2), SO(3)\), 3-sphere, Möbius transformations, double cover, etc.
Apr 21, 2025
Marcobisky

UAV Control 无人机控制原理

Control-Theory
基于四元数的无人机姿态控制原理 (待完成)
Apr 7, 2025
Marcobisky

PDE: Wave and Heat Equations Made Obvious 推导波动方程与热传导方程

Differential-Equation
First chapter of PDE series!
Apr 5, 2025
Marcobisky

Understanding Isomorphism Theorems for Groups 群同构定理的理解

Algebra
If you struggle to have a clear mental picture of the isomorphism theorems, I hope this helps.
Mar 31, 2025
Marcobisky

Control Case Study: LQR for Inverted Pendulum!

Control-Theory
Complete guide for building a linear feedback control system for an inverted pendulum in MATLAB.
Mar 25, 2025
Marcobisky

Special Matrices 特殊矩阵与算子

Algebra
正规矩阵、厄米矩阵、酉矩阵、反厄米矩阵等性质
Mar 15, 2025
Marcobisky

Three ways to Understand the Mixed Product of Vectors! 向量混合积的三种理解

Differential-Geometry
When it comes to \(a \cdot (b \times c)\), what’s in your head?
Mar 9, 2025
Marcobisky

EM Chapter I: Maxwell’s First Equation

Physics
Understand \(\mathbf{\nabla} \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}\) in one article!
Mar 7, 2025
Marcobisky

Q&A: Basis vectors are exactly the same as partial derivative operator? 为什么向量等价于微分算子?

Differential-Geometry
Why \(e_i\) is exactly the same as \(\frac{\partial}{\partial x^i}\)? How to define tangent space at some point of a manifold?
Mar 4, 2025
Marcobisky

What is symmetry? 什么是对称性?

Algebra
Symmetry is nothing but a group acts on an object!
Mar 3, 2025
Marcobisky

JK Flip-flop not Behavioral (VHDL version)

Hardware
Easy to write a behavioral description of JK-FF in VHDL, what about writing it in terms of gates?
Dec 8, 2024
Marcobisky

在 ios 下载第三方应用

Awesome-Mac
会闪退, 散了吧(´・_・`)
Oct 29, 2024
Marcobisky

Least Squares as Projection 最小二乘法的投影解释

Algebra
Thinking least squares in this way really helps!
Sep 21, 2024
Marcobisky

java项目导入Launchpad方案 MacOS

Awesome-Mac
我想在launchpad上面启动一个 java 项目,但是application只支持启动 .app 文件,怎么办?
Sep 11, 2024
Marcobisky

Create your own website using Hugo on MacOS

CS
This is how I built my first personal website without any prior knowledge of HTML.
Aug 31, 2024
Marcobisky

RTL Analysis on MacOS under 300MB

Awesome-Mac
Wanna compile verilog on MacOS but without programing an FPGA? Check this out!
Aug 31, 2024
Marcobisky
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